Digital Commons Network^™

On Sobolev Spaces And The Existence Of Weak Solutions To Boundary Value Problems, Skye X. Paul

Master's Theses

Many boundary value problems that arise in mathematical models have close connections to second order elliptic partial differential equations. This thesis introduces the idea of weak derivatives and Sobolev Spaces to generalize possible solutions. Using functional analysis centered around the Lax-Milgram theorem, we show the existence of these generalized solutions to boundary value problems including Laplace's Equation, 2nd order linear ODEs, and ultimately a general second order elliptic PDE. The work cumulates with recovering a number of central theorems of functional analysis in the context of Sobolev Spaces, creating a new perspective on the solvability of these boundary value problems.

A Mixed Methods Study Of The Weather And Climate Science Curriculum Pilot In South Carolina K-12 Schools, 4-H, And Agricultural Education Programs, Emily B. Hood

All Dissertations

Weather and climate science topics in K-12 education are more important now than ever due to extreme weather and climate events happening worldwide. Most U.S. science teachers included climate science in their courses, but they may not have a sufficient background in the topic which can hinder their efforts, or there is no explicit curriculum for the teacher to utilize. Research indicates that there is a need for innovation in the curriculum to help prepare children to become the next generation of leaders and address complex problems, such as issues related to weather and climate science. There are a few …

Exploring Halogen Bonding Interactions In Cocrystals And Deep Eutectic Solvents, Madhushi Bandara

All Dissertations

Halogen bonding is a noncovalent intermolecular interaction analogous to hydrogen bonding that occurs between an electrophile and a nucleophile. This is often observed in compounds containing heavy halogens such as iodine and bromine. When these halogens are covalently bonded to another atom or molecule, preferably to an electron-withdrawing moiety, an electrophilic region called a sigma hole is created on the halogen atom on the extension of the covalent bond.

The first study of this dissertation presents a comprehensive characterization of eight newly synthesized triiodide salts using single-crystal X-ray diffraction, powder X-ray diffraction, thermal analysis (DSC and TGA), and Raman spectroscopy. …

Multi-Modal Data-Efficient Learning For 3d Machine Vision, Zhimin Chen

All Dissertations

The rapid progress of 3D computer vision has enabled a wide range of applications in autonomous driving, robotics, and augmented reality. Despite this growth, training robust 3D perception models remains challenging due to limited labeled data, the complexity of integrating multiple modalities, and the inherently imbalanced and long-tailed nature of 3D datasets. This dissertation addresses these challenges by proposing data-efficient, multi-modal learning frameworks that improve the accuracy, generalization, and scalability of 3D scene understanding.

In the semi-supervised setting, this work presents novel approaches that combine limited annotations with large amounts of unlabeled data to enhance 3D object classification and retrieval. …

Synthesis And Characterization Of Chemically Recyclable Polypropylene-Based Covalent Adaptable Networks, Andrii Tiiara

All Dissertations

Polyolefins (POs) are inexpensive engineering materials with excellent physical and mechanical properties, accounting for nearly 60% of all thermoplastics. However, large-scale recycling remains limited, with only ~15% undergoing mechanical recovery. This dissertation addresses this challenge by fragmenting and functionalizing polypropylene (PP) chains to generate macromonomers and employing them, along with industrial reactive PP macromonomers, to synthesize, depolymerize, and repolymerize chemically recyclable polypropylene-based polyolefins (CR-POs). These CR-POs incorporate ester linkages that form covalent adaptable networks (CANs), maintaining a gel fraction of ~70% while remaining melt-reprocessable via extrusion and compression molding.

First, the fragmentation of PP is investigated by microwave irradiation. Microwave …

Math For The Real World: Implementing A Standards-Based Math Curriculum With A Focus On Formative Assessment, Rachael Smilowitz

All Dissertations

This study investigated the relationship between the Ongoing Assessment Project (OGAP) professional development and the fidelity of implementation of the Illustrative Math Middle School curriculum in Roseland County School District. The district adopted Illustrative Math in 2016; however, many teachers either implemented it inconsistently or used only select components. While prior research has demonstrated that OGAP training can improve student outcomes on standardized assessments in large urban districts such as Philadelphia, little is known about its impact on teachers’ use of high-quality curricula such as Illustrative Math.

The study addressed three guiding questions: (1) How does participation in OGAP professional …

Robust Data-Driven Predictive Control Of Nonlinear Systems Under Modeling Uncertainty, Pegah Ghafghanbari

All Dissertations

Data-driven predictive control enables designing controllers directly from data, making it attractive for complex systems with hard-to-model dynamics. However, practical deployment is challenged by modeling inaccuracies and changing operating conditions. This dissertation develops predictive control frameworks that incorporate robustness and adaptability to address these issues in uncertain nonlinear systems.

The first part employs the Linear Parameter-Varying (LPV) framework, which represents nonlinear dynamics through simple linear form representation. To characterize the plant-model-mismatch often caused by limited data and numerical calculations, Bayesian Neural Networks (BNNs) are used, and their uncertainty estimates are integrated into two robust control approaches. The first is a …

Surface Reaction And Transportation Of Radium-226 In Marine Systems, Jiusi Wang

All Dissertations

Historical uses of radium (Ra)-containing self-luminous paint, such as on gauges and dials in naval ships, have led to the potential for such paint, and thus Ra, to be released into the marine environment. Radium-226 (²²⁶Ra) behavior in marine systems is not fully described in the literature, presenting a knowledge gap in the process of evaluating potential ecological impact of Ra in marine systems. This study explores various mechanisms contributing to Ra environmental transport in marine systems on a laboratory scale, including leaching, sorption, and diffusion. ²²⁶Ra leaching from watch hand dials containing radioactive luminous paint is …

Advancing Life Cycle Assessment Of Mass Timber: Environmental Performance, Circular Design And End-Of-Life Strategies, Muzan Williams Ijeoma

All Dissertations

Mass timber has emerged as a leading candidate for low-carbon construction, offering the dual benefits of reduced embodied emissions and biogenic carbon storage. Yet, fully realizing its sustainability potential requires a comprehensive and context-specific understanding of its environmental performance across the entire life cycle, from raw material production to building operation and beyond end-of-life (EoL). This dissertation advances life cycle assessment (LCA) practices for mass timber by addressing critical challenges across multiple phases of its life cycle. This dissertation is comprised of three published papers, and two submitted manuscripts. First, I conducted a critical review and meta-analysis of mass …

Hydrodynamics Of Perforated Heave Plates, Muhammad Usman

All Dissertations

Ocean waves are a clean and renewable energy source that can help reduce dependence on fossil fuels and combat climate change. To capture this energy, researchers have developed devices known as wave energy converters (WECs). One common type, called a two-body point absorber WEC, uses a buoy floating on the ocean surface connected to a submerged reaction plate, known as the heave plate, which lies underwater. The relative up-and-down motion between the buoy and the heave plate, driven by ocean waves, generates usable power via a power take-off (PTO) system. Traditionally, these submerged heave plates are solid structures. However, this …

Opposed-Piston Two Stroke Engine As A High Power Density Solution In Heavy Duty Applications: An Experimental Evaluation With Diesel And Ethanol, Ankur Bhatt

All Dissertations

With an increasing demand to reduce greenhouse gas (GHG) emissions, the conventional powertrain technology is at a saturation point. There is reinvigorated research interest in alternative powertrain designs that offer potentially higher efficiencies and lower engine-out emissions compared to conventional powertrains. The opposed piston two-stroke (OP2S) engine is one such alternative engine architecture that has demonstrated a reduction in engine-out emissions and increased efficiency compared to conventional four-stroke diesel engines. Like any two-stroke engine, the scavenging process and the composition of the internal residuals are predominantly governed by the pressure differential between the intake and the exhaust ports. Without dedicated …

Engage, Assess, Intervene, Evaluate: Barriers Facing The Elderly Population, Isabel Anderson, Gracie Brown, Mari Langton

Student Projects

This study examined barriers faced by older adults in Orange City, Iowa, through a mixed-methods community practice project incorporating assessment, implementation, and evaluation. During the assessment phase, researchers conducted interviews with elderly residents and professionals, gathered observational data, and facilitated community dialogue using the Nominal Group Technique. Key themes included social isolation, transportation challenges, financial strain, limited health literacy, and difficulty transitioning from independence to assisted living. A strong cultural emphasis on independence often discouraged help-seeking, while fragmented agency communication and rural limitations in specialized care further complicated service navigation. Asset mapping and power analysis highlighted community cohesion, faith-based support, …

Zero Day Malware Detection With Alpha: Fast Dbi With Transformer Models For Real World Application, Matthew Gaber, Mohiuddin Ahmed, Helge Janicke

Research outputs 2022 to 2026

The effectiveness of an AI model in accurately classifying novel malware hinges on the quality of the features it is trained on, which in turn depends on the effectiveness of the analysis tool used. Peekaboo, a Dynamic Binary Instrumentation (DBI) tool, defeats malware evasion techniques to capture authentic behavior at the Assembly (ASM) instruction level. This behavior exhibits patterns consistent with Zipf's law, a distribution commonly seen in natural languages, making Transformer models particularly effective for binary classification tasks. We introduce Alpha, a framework for zero-day malware detection that leverages Transformer models, Support Vector Machines (SVMs) and ASM language features. …

Theory And Technology Of Enhanced Coal Seam Gas Production By Integrated Drilling, Hydraulic Punching And Fracturing In Coal Mine: Part 2 Technology, Shiyao Yu, Xianbo Su, Jinxing Song, Qian Wang, Zhenjiang You

Research outputs 2022 to 2026

To enhance the efficiency and cost-effectiveness of coal seam gas extraction in coal mines, this study introduces an integrated approach combining drilling, hydraulic punching, and fracturing technologies. This method optimizes drilling media tailored to specific coal seams and fine-tunes technical parameters during drilling and permeability improvement processes. Furthermore, it clarifies the relationships among the coal breaking rate, discharge of drill cuttings, jet velocity, rotation speed, and displacement. This ensures precise and effective permeability improvement in both soft and hard coal formations. To implement this technology, a set of high-performance drilling tool with a large inner diameter, high pressure resistance, and …

The Significant Impact Of Hot Isostatic Pressing On The Corrosion Behavior Of Ti-6al-4v Alloy Prepared By Electron Beam Powder Bed Fusion, Hongyu Zheng, Yun Bai, Wentao Hou, Zirong Zhai, Lai Chang Zhang, Shujun Li, Rui Yang

Research outputs 2022 to 2026

This work investigated the effect of hot isostatic pressing (HIP) on the corrosion behavior of Ti-6Al-4V samples prepared by electron beam powder bed fusion (EB-PBF). After the HIP treatment, the TiO2 content decreased but the growth rate of passivation films increased, leading to increase in internal defect density, thereby degrading the corrosion resistance. Amongst the different factors impacted by HIP including pore defects, β-phase, texture and morphology of α-phase, the morphology of α-phase played a dominant role in determining the corrosion performance of EB-PBF processed alloy.

Confinement-Dependent Transient Mi For The Hoek-Brown (H-B) Strength Criterion, Hao Li, Leo Pel, Zhenjiang You, David Smeulders

Research outputs 2022 to 2026

The growing global demand for mineral resources necessitates deeper excavation, where increasing in situ stresses pose significant geomechanical challenges. Consequently, an accurate strength assessment of deep-seated rock masses is crucial for ensuring the safety and reliability of underground excavations. The Hoek-Brown (H-B) strength criterion remains a widely applied rock strength criterion. However, its conventional form struggles to characterize the full nonlinear evolution of rock strength from pre-critical to critical conditions across varying confining stresses. To address this limitation, this study proposes a Confinement-dependent Transient mi Model (CTM) as an enhancement to the H-B criterion. By incorporating confinement-sensitive variations of mi, …

A Critical Review On Selecting Performance Evaluation Metrics For Supervised Machine Learning Models In Wastewater Quality Prediction, Hoda Khoshvaght, Ratish Ramyad Permala, Amir Razmjou, Mehdi Khiadani

Research outputs 2022 to 2026

While numerous machine learning (ML) models have been applied to wastewater treatment plant (WWTP) quality prediction tasks, significantly less attention has been paid to the selection and interpretation of performance evaluation metrics. Most studies rely on general-purpose regression metrics such as Root Mean Square Error (RMSE), Mean Absolute Error (MAE), Mean Absolute Percentage Error (MAPE), and the Coefficient of Determination (R²). Although widely used, these metrics differ considerably in terms of interpretability, sensitivity to data anomalies, and suitability for dynamic, noisy environments like WWTPs. This review, based on a systematic literature analysis of 27 performance evaluation metrics, critically …

Enhanced Degradation Of Triclosan Using Aerated Hydrodynamic Cavitation: Turbulence-Based Modelling And Economic Evaluation, Mehdi Khiadani, Ensiyeh Taheri, Veena Bobade, Ali Fatehizadeh

Research outputs 2022 to 2026

Pharmaceutical and personal care product (PPCP)-contaminated wastewater, particularly with triclosan (TCS), poses a significant environmental concern due to TCS persistence, ecotoxicity, and endocrine-disrupting effects, necessitating the development of efficient and sustainable remediation technologies. In this study, the degradation of TCS using hydrodynamic cavitation coupled with air injection (aerated HC process) is investigated as a green and chemical-free treatment method for wastewater treatment. Initially, the optimum operating conditions of the standalone HC process were determined by varying the inlet pressure and flow rate, which were found to be 2.34 bar and 0.45 L/s, respectively, corresponding to the highest turbulence frequency level …

Experimental Study On Stability, Rheology, And Co2 Storage Capacity Of Polymer-Enhanced Foams In Carbonates, Muhammad Mushtaq, Mudassar Mumtaz, Emad W. Al-Shalabi, Waleed Alameri, Georgios N. Karanikolos, Stefan Iglauer

Research outputs 2022 to 2026

Polymer-enhanced CO2 foam (PEF) is an emerging technology that improves gas mobility control in chemical enhanced oil recovery applications. It also has significant potential for storing CO2 in geological formations, which can help mitigate anthropogenic emissions. Traditional surfactant-based foams are often weak and unstable, particularly under the high-salinity and high-temperature conditions commonly found in Middle Eastern carbonate reservoirs. However, adding a small amount of stable polymer to these foams can enhance their stability, rendering them more suitable for harsh environments. This study focuses on designing and thoroughly evaluating a PEF formulation under supercritical CO2 conditions at 95 °C temperature, 1500 …

Interface Engineering And Safety In Solid-State Batteries: Advancing From Human-Centered Insights To Ai-Driven Innovations, Elnaz Karimi, Stefan Iglauer, Muhammad Rizwan Azhar

Research outputs 2022 to 2026

Solid-state batteries (SSBs) represent a transformative advancement in energy storage, offering superior safety, higher energy density and extended cycle life compared to conventional lithium-ion batteries (LIBs). However, challenges related to interface engineering—particularly in ensuring stable electrochemical performance and preventing lithium dendrite formation—have hindered their widespread adoption and can compromise safety. Effective interface engineering is critical for mitigating interfacial resistance, enhancing mechanical stability and preventing thermal runaway, all of which are vital for improving battery reliability. The integration of artificial intelligence (AI) and machine learning (ML) in this context accelerates battery optimization by enabling predictive modelling of interfacial behaviour, material discovery …

Machine Learning Assisted Quality Control In Metal Additive Manufacturing: A Review, Zeqi Hu, Changlin Huang, Lechun Xie, Lin Hua, Yujie Yuan, Lai Chang Zhang

Research outputs 2022 to 2026

Additive manufacturing (AM) promotes the production of metallic parts with significant design flexibility, yet its use in critical applications is hindered by challenges in ensuring consistent quality and performance. Process variability often leads to defects, insufficient geometric accuracy and inadequate material properties, which are difficult to effectively manage due to limitations of traditional quality control methods in modeling high-dimensional nonlinear relationships and enabling adaptive control. Machine learning (ML) offers a transformative approach to model intricate process-structure-property relationships by leveraging the rich data environment of AM. The study presents a comprehensive examination of ML-driven quality assurance implementations in metallic AM. First, …

Performance Study Of A Woody Downdraft Gasifier: Numerical Investigation And Experimental Validation, Md Sanowar Hossain, Showmitro Bhowmik, Mujahidul Islam Riad, Md Golam Kibria, Barun K. Das, Sanjay Paul

Research outputs 2022 to 2026

Biomass gasification is an established and widely utilized renewable energy system. The research work aims to develop and construct a downdraft gasifier to investigate gasifier performance. The gasifier’s performance and cold gas efficiency were calculated for three volumetric airflow rates: 7.16 m3/h, 5.97 m3/h, and 4.78 m3/h. The efficiency was found maximum of 69.6% for an airflow rate of 7.16 m3/h. The oxidation zone and neck region of the gasifier reactor had the maximum recorded temperatures of 845 °C and 823 °C for Swietenia macrophylla (SM) and Mangifera indica (MI), respectively. A two-dimensional computational fluid dynamics (CFD) model for a …

Optimization Of Size And Siting Of Distributed Generation In Unbalanced Distribution Systems: A Literature Review, Pema Dorji, Stefan Lachowicz, Octavian Bass

Research outputs 2022 to 2026

Renewable energy sources (RES) are essential for meeting the rising global electricity demand while reducing greenhouse gas emissions from conventional generation. As traditional systems approach capacity saturation, the integration of RES into power grids becomes increasingly vital. However, the intermittent and variable nature of RES introduces significant technical, economic, and operational challenges. This review focuses on the optimal planning and integration of distributed generation in unbalanced distribution systems, which more accurately reflect real-world power network conditions. Emphasis is placed on siting and sizing strategies aimed at enhancing voltage stability, minimizing power losses, and reducing system costs and emissions. The review …

The Good Life Paradox, Matthew Hammerton

Research Collection School of Social Sciences

Picture two people on their deathbeds. The first lived comfortably, surrounded by loving family and friends, enjoying diverse pleasures and achievements throughout a long life. The second dedicated herself entirely to fighting injustice, achieving remarkable social change, but at great personal cost. Who lived the better life?Your answer might depend on what you mean by ‘better’. Philosophers have long recognized that when we call a life ‘good’ we can mean different things. So we could be talking about a life’s moral goodness – how virtuous the person was – or its prudential goodness – how well the life went for …

Application Of Plastic Waste As A Sustainable Bitumen Mixture—A Review, Nuha S. Mashaan, Thakur Chamlagai

Research outputs 2022 to 2026

Plastic waste is growing rapidly, while asphalt binders remain heavily reliant on petroleum bitumen. Incorporating recycled plastics into bitumen can divert waste and enhance pavement performance. This review compiles 251 experimental records from 56 studies to evaluate how plastic type, dosage, and processing conditions affect softening point, penetration, and viscosity. Across studies, plastics (PET, LDPE/HDPE/LLDPE, PP, and hybrids) consistently stiffen binders, reducing penetration and increasing softening point and viscosity, thereby improving rutting resistance while potentially raising mixing/compaction demands. Using grouped cross-validated machine-learning models (median baseline, ridge, random forest, XGBoost), we quantify the predictability of binder properties and show that nonlinear …

Design Of A Novel Robust Adaptive Fractional-Order Model Predictive Controller For Boost Converter Using Grey Wolf Optimization Algorithm, Chao Peng, Seyyed Morteza [email protected] Ghamari, Hasan Mollaee, Omid Rezaei

Research outputs 2022 to 2026

Boost converters play a crucial role in power electronics but present control challenges due to their non-minimum phase behavior and nonlinear dynamics at high switching frequencies. To address these issues, this work proposes a Fractional-order adaptive Model Predictive Control (FO-MPC) framework incorporating Exponential Regressive Least Squares (ERLS) for system identification. Traditional MPC frameworks often rely on accurate mathematical models, which are difficult to obtain in real-world scenarios. This adaptive modelling approach based on ERLS identification method eliminates the need for precise system models, improving robustness and adaptability under parameter variations. Additionally, a FO derivative term enhances damping, stability, and noise …

Next-Generation Terrorism: Understanding Agentic Ai Systems And Potential For Malign Use, Alexis D'Amato, Ares Boira-Lopez, Emma Theobald, Meg Shercliffe, Jack Rygg, Samuel Hunter, Joel Elson

Reports, Projects, and Research

The call for an increased understanding of artificial intelligence in the U.S. AI Action Plan (The White House, 2025), in tandem with the growing use of AI by terrorist organizations (see Theobald et al., 2025), motivates our effort to provide clarity around the emerging technologies. In doing so, we define and distinguish the features of agentic AI and provide several case studies to illustrate the nefarious use of these tools. Although the current base rate for this type of use is low, we forecast hypothetical use cases given previous examples of terrorists adopting technology and outline the malign use of …

Quantum Entanglement As A Resource For Coordinating Navigation, Aamir Ahmad

Theses and Dissertations

John Clauser, Michael Horne, Abner Shimony, and Richard Holt (CHSH) originally formulated the CHSH game as an experiment to establish entanglement as a quantum mechanical phenomenon that could not be predicted by classical theories. I will apply the quantum strategy used in the CHSH game to demonstrate that it also establishes a structure that employs entanglement as a resource to enable coordination without communication in the context of navigation.

Comparative Assessment Of Lower Limb Neuromusculoskeletal Activation And Joint Kinematics In Normal And Impaired Gait, Jack Ryan Schule

Theses and Dissertations

This thesis evaluates whether accessible and affordable technologies can provide clinically significant, quantifiable gait analysis comparable to traditional marker-based motion capture systems. Modern high-end systems offer excellent accuracy but remain financially and logistically inaccessible to many clinicians and researchers. To address this gap, a framework was developed using markerless pose estimation using the model, MediaPipe, inertial measurement units (IMUs) processed through an Extended Kalman Filter (EKF), and surface electromyography (sEMG) to measure joint kinematics and neuromuscular activity during gait. An experiment was performed where data was collected from participants with both normal gait and pathologies including: Osgood–Schlatter disease, Plica Band …

Signaling Through National Security Lawmaking, Weijia Rao

Faculty Scholarship

An often-overlooked element of the ongoing TikTok saga is China’s export control law, which prohibits the sale of TikTok’s core content recommendation algorithm without prior approval from the Chinese government. This law is just one example of the extensive national security lawmaking China has undertaken in recent years. Closely paralleling similar institutions in the U.S., China has established a comprehensive national security legal framework that authorizes the government to restrict exports, sanction foreign entities, screen foreign investments, and block transactions involving cyber infrastructure.

Why turn towards legality when China has the ability to employ these actions without a formal legal …